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Finding the Fourth Proportional to 137,486.47, 189,727.91 and 80,122.07

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Solution

The fourth proportional to 137,486.47, 189,727.91 and 80,122.07 is: 110,566.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,486.47 : 189,727.91 = 80,122.07 : x
  2. Step 2: Convert to fraction form
    137,486.47/189,727.91 = 80,122.07/x
  3. Step 3: Cross multiply
    137,486.47x = 189,727.91 × 80,122.07
  4. Step 4: Simplify right side
    137,486.47x = 15,201,392,885.97
  5. Step 5: Solve for x
    x = 15,201,392,885.97/137,486.47
  6. Step 6: Final answer
    x = 110,566.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.